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Finding the Fourth Proportional to 6,272.78, 9,409.29 and 1,830.77

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Solution

The fourth proportional to 6,272.78, 9,409.29 and 1,830.77 is: 2,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.78 : 9,409.29 = 1,830.77 : x
  2. Step 2: Convert to fraction form
    6,272.78/9,409.29 = 1,830.77/x
  3. Step 3: Cross multiply
    6,272.78x = 9,409.29 × 1,830.77
  4. Step 4: Simplify right side
    6,272.78x = 17,226,198.81
  5. Step 5: Solve for x
    x = 17,226,198.81/6,272.78
  6. Step 6: Final answer
    x = 2,746.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.